RETRACTED: Pythagorean m-Polar Fuzzy Weighted Aggregation Operators and Algorithm for the Investment Strategic Decision Making (Retracted Article)

被引:15
|
作者
Riaz, Muhammad [1 ]
Naeem, Khalid [2 ]
Chinram, Ronnason [3 ]
Iampan, Aiyared [4 ]
机构
[1] Univ Punjab, Dept Math, Lahore, Pakistan
[2] Univ Lahore, Dept Math & Stat, Lahore, Pakistan
[3] Prince Songkla Univ, Fac Sci, Div Computat Sci, Algebra & Applicat Res Unit, Hat Yai 90110, Songkhla, Thailand
[4] Univ Phayao Mae Ka, Sch Sci, Dept Math, Phayao 56000, Thailand
关键词
SOFT SETS;
D O I
10.1155/2021/6644994
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The role of multipolar uncertain statistics cannot be unheeded while confronting daily life problems on well-founded basis. Fusion (aggregation) of a number of input values in multipolar form into a sole multipolar output value is an essential tool not merely of physics or mathematics but also of widely held problems of economics, commerce and trade, engineering, social sciences, decision-making problems, life sciences, and many more. The problem of aggregation is very wide-ranging and fascinating, in general. We use, in this article, Pythagorean fuzzy numbers (PFNs) in multipolar form to contrive imprecise information. We introduce Pythagorean m-polar fuzzy weighted averaging (PmFWA), Pythagorean m-polar fuzzy weighted geometric (PmFWG), symmetric Pythagorean m-polar fuzzy weighted averaging (SPmFWA), and symmetric Pythagorean m-polar fuzzy weighted geometric (SPmFWG) operators for aggregating uncertain data. Finally, we present a practical example to illustrate the application of the proposed operators and to demonstrate its practicality and effectiveness towards investment strategic decision making.
引用
收藏
页数:19
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